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23214555541232 = 2411163780574761
BaseRepresentation
bin1010100011101000011110…
…10101100010111011110000
310001012021211021211120110222
411101310033111202323300
511020321402204304412
6121212341455312212
74614124220212166
oct521641725427360
9101167737746428
1023214555541232
117440268445530
12272b17781b668
13cc517a8723a3
145a383a401236
152a3ce581c072
hex151d0f562ef0

23214555541232 has 40 divisors (see below), whose sum is σ = 49097103178032. Its totient is φ = 10545624588800.

The previous prime is 23214555541223. The next prime is 23214555541291.

23214555541232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39999269 + ... + 40575492.

Almost surely, 223214555541232 is an apocalyptic number.

23214555541232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23214555541232 is an abundant number, since it is smaller than the sum of its proper divisors (25882547636800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23214555541232 is a wasteful number, since it uses less digits than its factorization.

23214555541232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80576417 (or 80576411 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

It can be divided in two parts, 2321455 and 5541232, that added together give a palindrome (7862687).

The spelling of 23214555541232 in words is "twenty-three trillion, two hundred fourteen billion, five hundred fifty-five million, five hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1637 3274 6548 13096 18007 26192 36014 72028 144056 288112 80574761 161149522 322299044 644598088 886322371 1289196176 1772644742 3545289484 7090578968 14181157936 131900883757 263801767514 527603535028 1055207070056 1450909721327 2110414140112 2901819442654 5803638885308 11607277770616 23214555541232